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Finding the Third Proportional to 12,596 and 27,124

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Solution

The third proportional to 12,596 and 27,124 is: 58,408.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,596 : 27,124 = 27,124 : x
  2. Step 2: Convert to fraction form
    12,596/27,124 = 27,124/x
  3. Step 3: Cross multiply
    12,596x = 27,124 × 27,124
  4. Step 4: Simplify right side
    12,596x = 735,711,376
  5. Step 5: Solve for x
    x = 735,711,376/12,596
  6. Step 6: Final answer
    x = 58,408.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.